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Finding the Fourth Proportional to 9,697.25, 14,545.93 and 3,853.88

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Solution

The fourth proportional to 9,697.25, 14,545.93 and 3,853.88 is: 5,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.25 : 14,545.93 = 3,853.88 : x
  2. Step 2: Convert to fraction form
    9,697.25/14,545.93 = 3,853.88/x
  3. Step 3: Cross multiply
    9,697.25x = 14,545.93 × 3,853.88
  4. Step 4: Simplify right side
    9,697.25x = 56,058,268.71
  5. Step 5: Solve for x
    x = 56,058,268.71/9,697.25
  6. Step 6: Final answer
    x = 5,780.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.